few_shots: Example:
Problem/activity:
For each pair of numbers, determine if the values are equivalent. Explain your reasoning for each one.
a.
$$-0.25$$
and
$$\frac{1}{-4}$$
b.
$$-\left ( \frac{1}{4} \right )$$
and
$$\frac{-1}{-4}$$
c.
$$\frac{-1}{4}$$
and
$$-\frac{1}{4}$$


Mathematical concept/skill options: 
A. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
B. Reason quantitatively and use units to solve problems.
C. Apply and extend previous understandings of numbers to the system of rational numbers.
D. Represent complex numbers and their operations on the complex plane.
E. Perform arithmetic operations with complex numbers.
F. Compute fluently with multi-digit numbers and find common factors and multiples.
G. Represent and model with vector quantities.
H. Perform operations on vectors.
I. Use properties of rational and irrational numbers.
J. Use complex numbers in polynomial identities and equations.
K. Extend the properties of exponents to rational exponents.
L. Know that there are numbers that are not rational, and approximate them by rational numbers.
M. Perform operations on matrices and use matrices in applications.
N. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.


Thought: This problem involves understanding fractions, multiplication, and division.
Answer: A

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_001097

7
options: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

Describe and compare measurable attributes.

Represent and interpret data.

Measure lengths indirectly and by iterating length units.

Classify objects and count the number of objects in each category.

Work with time and money.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Measure and estimate lengths in standard units.

Geometric measurement: understand concepts of angle and measure angles.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Tell and write time.

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Relate addition and subtraction to length.

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Convert like measurement units within a given measurement system.
problem_activity: Problem 1
Act 1: Watch the video
The Orange (Act-1)
.
a.   What do you notice? What do you wonder?
b.   How many linking cubes will it take to even out the balance scale? Make an estimate.
Problem 2
Act 2: Use the following information to determine how many cubes it will take until the balance is level with the orange -
[IMG]
[IMG]
Problem 3
Act 3: Watch
The Orange (Act-3)
. Was your answer reasonable? Why or why not?
Problem 4
Act 4 (the sequel):
a.   Jessica puts 28 grams of pinto beans and 36 grams of rice into a pot to make rice and beans. What is the total mass of the rice and beans?
b.   Lindsey bought 845 grams of potatoes at the grocery store. She uses some of them to make mashed potatoes. She now has 392 grams of potatoes left. How many grams of potatoes did Lindsey use to make the mashed potatoes?
c.   Jerry buys 6 bags of groceries. Each bag has a mass of 4 kilograms. What is the total mass, in kilograms, of Jerry’s grocery bags?


correct_option_index: 0